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# Basic Physics Formula Sheet

In this section, we will briefly discus some basic physics formulae. Let us start with Newton’s law of motion. Newton’s first law of motion states that if an object is in resting state, it will remain in the same until any unbalanced force acts on it. Likewise an object under motion will maintain its speed and direction until an unbalanced force acts upon it. The second law of motion is given by following formula:

F = $\frac{dp}{dt}$ or F = ma (since p = mv)

Here “F” is the force applied on an object, “p” is the momentum of the object, “$\frac{dp}{dt}$”   is rate of change in momentum of object per unit time, “m” is mass of the object and “a” is acceleration of object.

Hence according to the above formula, Newton’s second law states that the rate of change in momentum of an object is proportional to the force applied on the object. Since both force and acceleration are vector quantities; direction of force vector and that of acceleration vector is same.  And hence the direction of rate of change in momentum of the object is also the same as that of the force vector.

The impulse formula is given as:

Impulse = FΔ t = Δ p

Hence impulse is measurement of product of force and time which in turn is equals to the change in momentum of the object.

The Newton’s third law of motion is given by following formula:

FAB = - FBA
The above formula states that each action has an opposite and equal reaction.

The law of conservation of momentum is given by following formula:

m1u1 + m2u2 =  m1v1 + m1v2

Here “m1” is the mass of first object and “m2” is the mass of second object. And “u1” and u2” are initial velocity of those objects while v1 and v2 are final velocities. The formula states that total momentum of objects before collision is equal to the total momentum after collision; hence momentum is conserved.

The formula for work done by a force is given as following:

W= F.s

It states that work done by a force is equals to the dot product of force vector and displacement vector.

All the objects under motion have kinetic energy which is expressed by following formula:

Kinetic Energy = $\frac{1}{2}$ mv2

The net change in kinetic energy of a system denotes the net work done by the applied force. It is given by following formula:
W= K- Ki

The potential energy of an object is expressed by following formula:

dU = F. dr

Here F is the conservative force. Change in potential energy of a system is given by following formula:

Potential energy= mgh

Here “m” is mass of object, “g” is acceleration due to gravity and “h” is the distance between two points.

The mechanical energy of an object is sum of kinetic energy and potential energy. It is given by following formula:

Mechanical energy = kinetic energy + potential energy

The law of conservation of energy is given by following formula:

K1 + P1 = K2 + P2

From Wikipedia

Cheat sheet

A cheat sheet or crib sheet is a concise set of notes used for quick reference. "Cheat sheet" may also be rendered "cheatsheet".

Cheat sheets are so named because they may be used by students without the instructor's knowledge to cheat on a test. However, at middle levels of education where rote memorization is not as important as either basic education or intense graduate studies, high school or undergraduate students may be permitted to consult their own notes during the exam (which is not considered cheating). The act of preparing a so-called cheat sheet is also an educational exercise, thus students are typically only allowed to use cheat sheets they have written themselves. In such usage a cheat sheet is a physical piece of paper, often filled with equations and/or facts in compressed writing. Modern students often print cheat sheets in extremely small font, fitting an entire page of notes in the palm of their hands during the exam.

The term can also apply to the fully worked solution for exams or work sheets normally handed out to university staff to ease marking.

## As reference cards

In more general usage, a "cheat sheet" is any short (one or two page) reference to terms, commands, or symbols where the user is expected to understand the use of such terms etc but not necessarily to have memorized all of them. Many computer applications, for example, have cheat sheets included in their documentation which list keystrokes or menu commands needed to achieve specific tasks to save the user the effort of digging through an entire manual to find the keystroke needed to, for example, move between two windows. An example of such a cheat sheet is one for the Gimp photo editing software.

Some academic and technical publishers also publish cheat sheets for software packages and technical topics. In some cases these are also intended as display items in that they are colourful and visually appealing.

Web-based cheat sheets in the second sense described above, such as a reference to terms, commands, or symbols, have become extremely common.

In modern open-book internet-based examinations, the "cheat sheet" (loaded onto a USB stick for example) may be regarded as an essential component. Specifically, from the examiner's point of view, what the student loads is a strong indication of what the student knows. It is easier to click-direct from stick rather than typing.

Worksheet

A worksheet is a sheet of paper, or on a computer, on which problems are worked out or solved and answers recorded.

## Education

Students in a school may have 'fill-in-the-blank' sheets of questions, diagrams, or maps to help them with their exercises. Students will often use worksheets to review what has been taught in class. A worksheet generator is a software program that generates problems, particularly in mathematics or numeracy. Such software is often used by teachers to make classroom materials and tests.

## Accounting

In accounting a worksheet often refers to a loose leaf piece of stationery from a columnar pad, as opposed to one that has been bound into a physical ledger book. From this, the term was extended to designate a single, two-dimensional array of data within a computerized spreadsheet program. Common types of worksheets used in business include financial statements, such as profit and loss reports. Analysts, investors, and accountants track a company's financial statements, balance sheets, and other data on worksheets.

In the Microsoft spreadsheet program Excel, a single document is known as a 'workbook' and by default each workbook contains three arrays or 'worksheets'. One advantage of such programs is that they can contain formulae so that if one cell value is changed, the entire document is automatically updated, based on those formulae.

Question:1.v = v0 + at 2.x = x0 +v0t + 1/2at^2 3.v^2 = v0^2 + 2a(x x0) 4. F = Fnet = ma 5.Ffric uN 6. = rFsin 7.P = m/v 8.J = F t = p 9.K = 1/2mv^2 10. ug = mgh 11.W = F rcos 12.Pavg = W/ t 13.P = Fvcos 14.Fs = -kx 15.Us = 1/2kx^2 16.Ts = 2 sqrt(m/k 17.Tp = 2 sqrt(l/g 18.T = 1/f 19.UG = -Gm1m2/r 20.F = (1/4 0) * (q1q2/r^2) 21.E = F/q 22.UE = qV = (1/4 0) * (q1q2/r^2) 23.Eavg = -V/d 24.V = (1/4 0) * i * qi/ri 25.C = Q/V 26.C = 0A/d 27.Uc = 1/2QV =1/2CV^2 28.Iavg = Q/ t 29.R = pl/A 30.V = IR 31.P = IV 32.Cp = iCi 33.1/Cs = i * 1/Ci 34.Rs = iRi 35.1/Rp = i * 1/Ri 36.FB = qvBsin 37.FB = Bilsin 38.B = 0/2 * I/r 39. m = Bacos 40. avg = - m/ t 41. = Blv Could someone tell what each equation is used for in physics? Trying to self teach over the summer.

Answers:This is not the way to learn physics. What you have here are a randomly selected set of equations which are not the most common form in many cases. So it is if somebody opened up a physics book, randomly grabbed equations in no particular order out of each chapter, and then said "here, read these and you'll know the physics". You don't start with the equations, you start with the principle. You need the material that developed these equations. And when you read these in context, you'll have the equations. But if you must, here's a summary. No I will NOT write 41 lines detailing every equation. 1-3 are the relationship between time, distance, velocity and acceleration for constant acceleration. 4. Is Newton's Second Law. 5. Relation between friction and normal force (usually with an equals sign). 6. torque, for force at an arbitrary angle. 7. Probably meant to be the definition of momentum which would be p = mv. 8. Impulse 9-12. Some energy relationships. 13. Appears to be very specialized. Perhaps the rate of energy expended in lifting something up a ramp. 14-15. The basic equations behind harmonic motion. 16-17. Two specific results for harmonic motion, the period of a spring and of a pendulum. 18. Relation between period and frequency 19. Newton's law of gravitation 20.The electrostatic or Coulomb force 21. Definition of electric field 22-23. Relations between electrical potential energy, electric field, and electric potential. 24. Electric potential. 25-27. Some relations governing capacitors. 28. Definition of current. 29. How to get the resistance of an object given its dimensions. 30-31. Power, current, voltage, resistance in circuits. 32-33 How to add capacitors in parallel and in series. 34-35. How to add resistors in series and in parallel 36. Force on a charge moving in a magnetic field. 37. Force on a current in a magnetic field. 38. Magnetic field produced by a current.. 39. Definition of magnetic flux. 40. Induced voltage produced by changing magnetic field. 41. Another induced voltage equation for some special case.

Question:I record statistics,eg., hrs worked per day ,products produced-per day,-per week,per month ,etc., these numbers are recorded in a vertical column onto a spread sheet .I then make a graph from just one column of numbers. The results are like a wave,leaving me to guess will the next number go up,down,stay the same ,what will it do? I'm looking for a simple formula based on a list of numbers that look random but aren't,there is a high max. and a low min.range different with each statistic.This would be a computer math formula for a spread sheet,my skills on working with formulas is very basic,so explaining step by step in laymans english would be most helpful. Here is a sample list of numbers -products produced- in cell 3c 23,in cell 4c 19,cell 5c 30,""21,""22,""29,""26,""26,""17,""20,""31,""33,""18,cell 16c 22,cell 17c(??????what is this logigal next number?)..... I hope i've explained this simple enough to be understood, can anyone out there help me with this problem????please?????

Answers:If I understood right, I think what you looking for is (IF). 1- click on INSERT (menu) 2- select fx (function) 3- select a function (IF) 4- office assistant with guide you through

Question:...tuning fork? Any help would be much appreciated. Use any formulas you want.

Answers:The fundamental of a closed end tube of length L is: f = v / (4 L ) ( v is speed of sound) 2nd harmonic equals twice the fundamental f = 2 f = v / (2 L) Hence: L = v / (2 f ) = 340m/s / (2 256s^-1) = 0.703215m

Question:I need to derive the following formulas in terms of Vix, Viy, and ay (sorry for lack of subscripts). 1.ymax = -viy2/2ay 2.a formula for time at the maximum height of the projectiles trajectory 3. and the horizontal distance traveled when the projectile lands (x=blah blah blah) I can say that Y0, X0, and T0 all equal 0. Gravity is -9.8 m/s2 and there is no horizontal acceleration. I need to derive the following formulas in terms of Vix, Viy, and ay (sorry for lack of subscripts). 1.ymax = -viy2/2ay 2.a formula for time at the maximum height of the projectiles trajectory 3. and the horizontal distance traveled when the projectile lands (x=blah blah blah) I can say that Y0, X0, and T0 all equal 0. Gravity is -9.8 m/s2 and there is no horizontal acceleration. Regarding 1, he wants me to show work. He gave me the formula in the problem.

Answers:In the link is a general solution for the two dimensional motion of an object thrown in a gravitational field. This is usually termed a projectile motion problem. The thrown object is called the projectile. Its path is called the trajectory. It answers all the usual questions that arise in a first year physics class regarding this motion.Without air resistance, the projectile will follow a parabolic trajectory. The projectile is thrown on level ground on planet Earth. It will leave the point of release, arc through the air along a path shaped like a parabola, and then hit ground a certain distance from where it was thrown. See link for all formulae.